A194986 a(n) = 1 + floor(n/sqrt(6)).
1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 12, 13, 13, 14, 14, 14, 15, 15, 16, 16, 16, 17, 17, 18, 18, 18, 19, 19, 20, 20, 21, 21, 21, 22, 22, 23, 23, 23, 24, 24, 25, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31
Offset: 1
Links
- Vincenzo Librandi, Table of n, a(n) for n = 1..10000
Programs
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Magma
[1+Floor(n/Sqrt(6)): n in [1..80] ]; // Vincenzo Librandi, Sep 10 2011
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Mathematica
p[n_]:=1+Floor[n/Sqrt[6]] Table[p[n],{n,1,90}] (* A194986 *) -
PARI
a(n)=1+sqrtint(n^2\6) \\ Charles R Greathouse IV, Sep 02 2015
Formula
a(n) = 1+A172476(n). - R. J. Mathar, Jul 06 2025